Electronics (ECE) - MCQ Practice Questions

For a causal discrete-time LTI system with H(z) = 1/(1-0.5z⁻¹), the system is:

The energy of signal x[n] = {1, 2, 1, -1} over the given support is:

A real continuous-time signal has Fourier transform X(f) with magnitude |X(f)| symmetric about f=0. Which property is satisfied?

The pole-zero diagram of a causal system shows poles at z = 0.3 and z = 0.7, with a zero at z = 0. The system is:

For a periodic signal x[n] with period N=4, the DFT X[k] has X[0]=8. The average value of the signal is:

A continuous-time signal x(t) is band-limited to 15 kHz. Using ideal reconstruction from samples, the minimum sampling frequency required is:

The inverse Fourier transform of X(f) = δ(f-f₀) + δ(f+f₀) is:

For a finite impulse response (FIR) filter of length M=5, the maximum linear phase is achieved when:

A system has step response s(t) = 1 - e^(-2t)u(t). Its impulse response h(t) is:

The DTFT of x[n] = δ[n-3] is:

For a Laplace transform H(s) = 5/(s+3), the system impulse response is:

A discrete signal undergoes 16-point FFT computation. The frequency resolution is Δf = 1 kHz. The sampling frequency fs is:

A first-order discrete filter y[n] = 0.8y[n-1] + 0.2x[n] has DC gain (at z=1) of:

For a signal x[n] = cos(πn/4), the fundamental period N is:

The convolution of two signals each of length 5 using linear convolution yields an output of length:

A system with transfer function H(s) = (s+2)/(s²+3s+2) has poles at:

For a complex exponential signal e^(j2πf₀t) sampled at fs = 10 kHz with f₀ = 3 kHz, aliasing occurs at frequency:

A continuous-time signal x(t) = 5sin(100πt) is sampled at 150 Hz. What is the Nyquist frequency required to avoid aliasing?

Which property of the Fourier transform states that multiplication in time domain equals convolution in frequency domain?

A causal LTI system has impulse response h(t) = e^(-3t)u(t). Is this system stable?